Question: QUESTION 5 Let A, B, C E Mnxn(C). (5.1) Show that if A and B are unitary then AB is unitary. (5.2) Show that if

QUESTION 5 Let A, B, C E Mnxn(C). (5.1) Show that if A and B are unitary then AB is unitary. (5.2) Show that if A and B are unitarily equivalent to C then A and B are unitarily equivalent. (5.3) Show that if A and B are unitarily equivalent and A is self-adjoint then B is self-adjoint

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